Homogeneous structures on real and complex hyperbolic spaces

zbMath1239.53070MaRDI QIDQ2267717

Marco Castrillón López, Andrew F. Swann, Pedro Martínez Gadea

Publication date: 1 March 2010

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1266934792

zbMATH Keywords

hyperbolic spacesisometry groupIwasawa decompositionhomogeneous structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (8)

The homogeneous holonomies of complex hyperbolic space ⋮ Cohomogeneity one actions on anti de Sitter spacetimes ⋮ Homogeneous pseudo-Riemannian structures of linear type ⋮ The homogeneous geometries of real hyperbolic space ⋮ Wild attractors and thermodynamic formalism ⋮ Homogeneous Riemannian structures on some solvable extensions of the Heisenberg group ⋮ On homogeneous manifolds whose isotropy actions are polar ⋮ Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous quaternionic Kähler structures and quaternionic hyperbolic space
• On the homogeneous Riemannian structures of type \({\mathcal T}_ 1\oplus {\mathcal T}_ 3\)
• Canonical connections with an algebraic curvature tensor field on naturally reductive spaces
• Notes on homogeneous almost Hermitian manifolds
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• On homogeneous Riemannian manifolds
• Non-discrete uniform subgroups of semisimple Lie groups
• Almost Hermitian homogeneous structures
• Characterizing the complex hyperbolic space by Kähler homogeneous structures
• Invariant Affine Connections on Homogeneous Spaces

This page was built for publication: Homogeneous structures on real and complex hyperbolic spaces